GCF of 7827/177, 4600/2313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7827/177, 4600/2313 i.e 1/136467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7827/177, 4600/2313.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7827/177,4600/2313?
Given fractions are 7827/177,4600/2313
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7827/177,4600/2313, numerators are 7827,4600
Denominators are 177,2313
The GCF of 7827,4600 is 1 .
LCM of 177,2313 is 136467.
The greatest common factor of 7827/177,4600/2313 = [GCF of 7827,4600]/[LCM of 177,2313]= 1/136467
Therefore, the GCF of 7827/177,4600/2313 is 1/136467.
To find the highest common factor of 7827,4600, we have to find the factors of both numbers and list the highest common factor.
The factors of 7827 are 1, 3, 2609, 7827
The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600
The HCF of 7827,4600 is 1.
Lets's calculate GCF of 7827,4600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7827,4600 By Matching Biggest Common Factor Method
Now, list down the factors of 7827
:1,3,2609,7827
Now, list down the factors of 4600
:1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600
Greatest Common Factor
We found the factors 7827,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 7827,4600 is 1.
Lets's calculate LCM of 177,2313
| 3 | 177, 2313 |
| 59, 771 |
∴ So the LCM of the given numbers is 3 x 59 x 771 = 136467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136467
Therefore, the GCF of Fractions 7827/177,4600/2313 is 1/136467
Least Common Multiple of 177,2313 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 177,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,2313) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,2313) x common factors =3 x 1 = 3
LCM(177,2313) = ( 177 × 2313 ) / 3
LCM(177,2313) = 409401 / 3
LCM(177,2313) = 136467
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FAQs on GCF of Fractions of 7827/177, 4600/2313
1. What is the HCF of 7827,4600?
The HCF of 7827,4600 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7827/177, 4600/2313?
Answer: GCF of Numerators as per given numbers 7827/177, 4600/2313 is
GCF of Numerators i.e. for 7827,4600 is 1
LCM of denominators i.e. for 177,2313 is 136467.
Thus, GCF of Fractions is 1/136467.Finally, GCF of Fractions for 7827/177, 4600/2313 is 1/136467.